Lectures on Differential Geometry I: Differentiable Manifolds
暫譯: 微分幾何講義 I：可微流形
Merry, Will J.
- 出版商: Springer
- 出版日期: 2026-04-10
- 售價: $2,900
- 貴賓價: 9.5 折 $2,755
- 語言: 英文
- 頁數: 393
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3032037328
- ISBN-13: 9783032037329
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相關分類:
離散數學 Discrete-mathematics
海外代購書籍(需單獨結帳)
商品描述
This textbook is designed for a one-semester introductory course in Differential Geometry. It covers the fundamentals of differentiable manifolds, explores Lie groups and homogeneous spaces, and concludes with rigorous proofs of Stokes' Theorem and the de Rham Theorem. The material closely follows the author's lectures at ETH Zürich.
商品描述(中文翻譯)
這本教科書是為一學期的微分幾何入門課程而設計的。它涵蓋了可微流形的基本概念，探討了李群和齊次空間，並以斯托克斯定理和德拉姆定理的嚴謹證明作結。這些內容緊密跟隨作者在蘇黎世聯邦理工學院（ETH Zürich）的講課。
作者簡介
Will J. Merry obtained his doctorate from the University of Cambridge. He carried out research at Cambridge and ETH in Zürich and published a number of papers in symplectic and contact topology and Hamiltonian dynamics. He made several key contributions to the theory of Rabinowitz Floer homology and its applications. He was recognized as a lecturer who helped his students understand not only the course material but also the way it fitted into the whole landscape of mathematics.
作者簡介(中文翻譯)
Will J. Merry 於劍橋大學獲得博士學位。他在劍橋和蘇黎世的 ETH 進行研究，並發表了多篇有關辛幾何和接觸拓撲以及哈密頓動力學的論文。他對 Rabinowitz Floer 同調理論及其應用做出了幾項重要貢獻。他被認可為一位講師，幫助學生理解課程內容以及這些內容如何融入整個數學的全景中。
